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31020300330112 = 271819521140629
BaseRepresentation
bin1110000110110011110011…
…11110110110010010000000
311001211111211001202210200101
413003121321332312102000
513031214033341030422
6145550310152132144
76351066650165152
oct703317176662200
9131744731683611
1031020300330112
11997a6a9925475
12358bb37997054
131440281397832
14793567936ad2
1538bd98832c27
hex1c3679fb6480

31020300330112 has 64 divisors (see below), whose sum is σ = 62146649892600. Its totient is φ = 15422729011200.

The previous prime is 31020300329939. The next prime is 31020300330119. The reversal of 31020300330112 is 21103300302013.

It can be written as a sum of positive squares in 4 ways, for example, as 26855860165696 + 4164440164416 = 5182264^2 + 2040696^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 31020300330112.

It is not an unprimeable number, because it can be changed into a prime (31020300330119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220512214 + ... + 220652842.

Almost surely, 231020300330112 is an apocalyptic number.

31020300330112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31020300330112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31073324946300).

31020300330112 is an abundant number, since it is smaller than the sum of its proper divisors (31126349562488).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

31020300330112 is a wasteful number, since it uses less digits than its factorization.

31020300330112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150345 (or 150333 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

Adding to 31020300330112 its reverse (21103300302013), we get a palindrome (52123600632125).

The spelling of 31020300330112 in words is "thirty-one trillion, twenty billion, three hundred million, three hundred thirty thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 181 362 724 1448 2896 5792 9521 11584 19042 23168 38084 76168 140629 152336 281258 304672 562516 609344 1125032 1218688 1723301 2250064 3446602 4500128 6893204 9000256 13786408 18000512 25453849 27572816 50907698 55145632 101815396 110291264 203630792 220582528 407261584 814523168 1338928709 1629046336 2677857418 3258092672 5355714836 10711429672 21422859344 42845718688 85691437376 171382874752 242346096329 484692192658 969384385316 1938768770632 3877537541264 7755075082528 15510150165056 31020300330112